ScienceAges 10-12

Moment of a force (torque)

Use M = F × d to calculate the turning moment of a force about a pivot in newton-metres (N·m). Review suitability for your learners before teaching.

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Age band:Ages 10-12 Ages 13-15

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Worksheet StudioPractice pack · Ages 10-12

Moment of a force (torque)

Take your time. Show your thinking.

1. A perpendicular force of 5 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 7 m · F = 5 N
2. A perpendicular force of 17 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 1 m · F = 17 N
3. A perpendicular force of 4 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 7 m · F = 4 N
4. A perpendicular force of 29 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 9 m · F = 29 N
5. A perpendicular force of 39 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 39 N
6. A perpendicular force of 18 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 9 m · F = 18 N
7. A perpendicular force of 30 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 30 N
8. A perpendicular force of 10 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 10 m · F = 10 N
9. A perpendicular force of 42 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 5 m · F = 42 N
10. A perpendicular force of 31 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 5 m · F = 31 N
11. A perpendicular force of 17 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 17 N
12. A perpendicular force of 49 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 1 m · F = 49 N

12 questions · Seed 104729 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 10-12

Moment of a force (torque)

Answers and reasoning. Review before teaching.

1. A perpendicular force of 5 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
35 N·m
Moment M = force × perpendicular distance = 5 N × 7 m = 35 N·m.
2. A perpendicular force of 17 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
17 N·m
Moment M = force × perpendicular distance = 17 N × 1 m = 17 N·m.
3. A perpendicular force of 4 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
28 N·m
Moment M = force × perpendicular distance = 4 N × 7 m = 28 N·m.
4. A perpendicular force of 29 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
261 N·m
Moment M = force × perpendicular distance = 29 N × 9 m = 261 N·m.
5. A perpendicular force of 39 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
234 N·m
Moment M = force × perpendicular distance = 39 N × 6 m = 234 N·m.
6. A perpendicular force of 18 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
162 N·m
Moment M = force × perpendicular distance = 18 N × 9 m = 162 N·m.
7. A perpendicular force of 30 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
120 N·m
Moment M = force × perpendicular distance = 30 N × 4 m = 120 N·m.
8. A perpendicular force of 10 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
100 N·m
Moment M = force × perpendicular distance = 10 N × 10 m = 100 N·m.
9. A perpendicular force of 42 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
210 N·m
Moment M = force × perpendicular distance = 42 N × 5 m = 210 N·m.
10. A perpendicular force of 31 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
155 N·m
Moment M = force × perpendicular distance = 31 N × 5 m = 155 N·m.
11. A perpendicular force of 17 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
68 N·m
Moment M = force × perpendicular distance = 17 N × 4 m = 68 N·m.
12. A perpendicular force of 49 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
49 N·m
Moment M = force × perpendicular distance = 49 N × 1 m = 49 N·m.

12 questions · Seed 104729 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 10-12

Moment of a force (torque)

Take your time. Show your thinking.

1. A perpendicular force of 5 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 7 m · F = 5 N
2. A perpendicular force of 17 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 1 m · F = 17 N
3. A perpendicular force of 4 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 7 m · F = 4 N
4. A perpendicular force of 29 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 9 m · F = 29 N
5. A perpendicular force of 39 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 6 m · F = 39 N
6. A perpendicular force of 18 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 9 m · F = 18 N
7. A perpendicular force of 30 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 30 N
8. A perpendicular force of 10 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 10 m · F = 10 N
9. A perpendicular force of 42 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 5 m · F = 42 N
10. A perpendicular force of 31 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 5 m · F = 31 N
11. A perpendicular force of 17 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 4 m · F = 17 N
12. A perpendicular force of 49 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
d = 1 m · F = 49 N

12 questions · Seed 104729 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 10-12

Moment of a force (torque)

Answers and reasoning. Review before teaching.

1. A perpendicular force of 5 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
35 N·m
Moment M = force × perpendicular distance = 5 N × 7 m = 35 N·m.
2. A perpendicular force of 17 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
17 N·m
Moment M = force × perpendicular distance = 17 N × 1 m = 17 N·m.
3. A perpendicular force of 4 N is applied at a distance of 7 m from a pivot. Use M = F × d to calculate the moment of the force.
28 N·m
Moment M = force × perpendicular distance = 4 N × 7 m = 28 N·m.
4. A perpendicular force of 29 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
261 N·m
Moment M = force × perpendicular distance = 29 N × 9 m = 261 N·m.
5. A perpendicular force of 39 N is applied at a distance of 6 m from a pivot. Use M = F × d to calculate the moment of the force.
234 N·m
Moment M = force × perpendicular distance = 39 N × 6 m = 234 N·m.
6. A perpendicular force of 18 N is applied at a distance of 9 m from a pivot. Use M = F × d to calculate the moment of the force.
162 N·m
Moment M = force × perpendicular distance = 18 N × 9 m = 162 N·m.
7. A perpendicular force of 30 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
120 N·m
Moment M = force × perpendicular distance = 30 N × 4 m = 120 N·m.
8. A perpendicular force of 10 N is applied at a distance of 10 m from a pivot. Use M = F × d to calculate the moment of the force.
100 N·m
Moment M = force × perpendicular distance = 10 N × 10 m = 100 N·m.
9. A perpendicular force of 42 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
210 N·m
Moment M = force × perpendicular distance = 42 N × 5 m = 210 N·m.
10. A perpendicular force of 31 N is applied at a distance of 5 m from a pivot. Use M = F × d to calculate the moment of the force.
155 N·m
Moment M = force × perpendicular distance = 31 N × 5 m = 155 N·m.
11. A perpendicular force of 17 N is applied at a distance of 4 m from a pivot. Use M = F × d to calculate the moment of the force.
68 N·m
Moment M = force × perpendicular distance = 17 N × 4 m = 68 N·m.
12. A perpendicular force of 49 N is applied at a distance of 1 m from a pivot. Use M = F × d to calculate the moment of the force.
49 N·m
Moment M = force × perpendicular distance = 49 N × 1 m = 49 N·m.

12 questions · Seed 104729 · Age guidance, not curriculum certification